CONTENT TYPE
SUBJECT
- Number Sense (79)
-
Counting
(1)
- Compare Numbers (15)
-
Order Numbers
(2)
- Skip Counting (35)
-
Even And Odd Numbers
(3)
- Place Value (21)
- Addition (185)
-
Addition Properties
(6)
- Addition Strategies (51)
-
Compose And Decompose Numbers
(18)
-
Add Using A Number Line
(7)
-
Count On To Add
(5)
-
Doubles And Near Doubles Addition Strategy
(16)
-
Make 10 Strategy
(3)
-
Add Three Whole Numbers
(14)
- 2-Digit Addition (44)
- 3-Digit Addition (64)
-
Subtraction
(105)
-
Subtract With Pictures
(6)
- Subtraction Strategies (14)
- 2-Digit Subtraction (27)
- 3-Digit Subtraction (46)
- Multiplication (25)
- Multiplication Strategies (19)
-
Multiplication With Equal Groups
(8)
-
Multiplication With Arrays
(9)
-
Repeated Addition To Multiply
(5)
-
Times Tables
(6)
- Geometry (28)
- Data Handling (33)
- Measurement (25)
- Time (31)
- Money (42)
- Algebra (17)
- Word Problems (33)
Subtract With Pictures Games
View all 6 games-
VIEW DETAILS
Subtract With PicturesUsing Model to Subtract 1-Digit Number Game
This fun math game helps kids overcome misconceptions in subtraction by using base 10 blocks. Students tackle tasks involving subtracting 1-digit from 3-digit numbers, enhancing their skills in subtracting within 1000. Through interactive challenges, children develop fluency and confidence in math. Perfect for young learners eager to improve their subtraction abilities!
-
VIEW DETAILS
Subtract With PicturesUsing Model to Subtract Game
This engaging game helps kids master subtraction by using base 10 blocks as visual aids. Kids will subtract multiples of 10 from 2-digit numbers, enhancing their understanding of subtraction within 100. The game focuses on building strong subtraction skills, making math practice enjoyable and effective. Perfect for young learners eager to improve their math skills!
-
VIEW DETAILS
Subtract With PicturesUsing Models to Subtract Game
This interactive math game helps kids subtract two 2-digit numbers using base 10 blocks. With visual models, children can easily grasp subtraction concepts without regrouping. As they select the correct answers, they'll boost their skills in subtraction within 100, preparing them for more complex math challenges. Perfect for young learners eager to master subtraction!
-
VIEW DETAILS
Subtract With PicturesSubtracting Using Base-10 Blocks Game
Explore subtraction with base-10 blocks in this exciting game. Kids will subtract 1-digit numbers from 2-digit numbers, mastering subtraction without regrouping. This interactive experience strengthens their math skills and boosts confidence. Perfect for young learners eager to tackle subtraction challenges with ease. Get started and watch them excel in math!
Subtraction Strategies Games
View all 14 games-
VIEW DETAILS
Count Back StrategyUsing the Count Back Strategy to Subtract Game
This exciting math game helps kids tackle subtraction by using the count back strategy. Learners will solve engaging problems, clearing up common misconceptions. They'll practice subtraction skills in a fun way, enhancing their understanding of math strategies. Perfect for young mathematicians eager to improve their subtraction skills!
-
VIEW DETAILS
Doubles And Near Doubles Subtraction StrategyUsing Double Facts to Subtract Game
In this exciting math game, kids will practice subtraction by using double facts, a key strategy for solving problems. They'll tackle a series of challenges, boosting their confidence and skills in subtraction. It's a fun way to learn addition and subtraction strategies while moving towards mastery. Perfect for young math learners eager to improve!
-
VIEW DETAILS
Doubles And Near Doubles Subtraction StrategyUse Near Doubles to Subtract Game
This engaging math game invites kids to solve subtraction problems using the near doubles strategy. By dragging and dropping items, children will apply their knowledge of addition and subtraction to find the correct answers. It's a fun way to boost problem-solving skills and gain confidence in math. Perfect for young learners eager to explore subtraction strategies!
-
VIEW DETAILS
Count Back StrategyCounting Back Using a Number Line Game
Learn subtraction with the count back strategy in a fun game that uses a number line. Kids will solve subtraction problems to reinforce skills and boost confidence. This interactive math game helps children apply addition and subtraction strategies, while making learning enjoyable and effective for little ones. It's time to practice counting back using a number line!
2-Digit Subtraction Games
View all 27 games-
VIEW DETAILS
2-Digit Subtraction With RegroupingSubtracting by Regrouping Game
This fun game helps kids learn subtraction by regrouping. Children will tackle problems involving subtracting 1-digit numbers from 2-digit numbers with regrouping. It's a great way to practice subtraction within 100, making math less daunting. By playing, kids improve their skills in subtracting and adding within 1000. Perfect for young math learners!
-
VIEW DETAILS
2-Digit Subtraction With RegroupingUsing Place Value to Subtract Game
This fun math game helps kids learn subtraction using place value charts. Students will drag numbers to solve subtraction problems, focusing on subtracting 1-digit from 2-digit numbers with regrouping. It encourages understanding of subtraction concepts and boosts skills in adding and subtracting within 1000. A perfect way to make learning enjoyable!
-
VIEW DETAILS
2-Digit Subtraction Without RegroupingSolving Word Problems by Subtracting Multiples of 10 Game
This fun math game helps kids tackle subtraction word problems by subtracting multiples of 10. Designed to build fluency, it offers a variety of take apart scenarios to solve, enhancing problem-solving skills. Students will practice adding and subtracting within 100, gaining confidence and proficiency in subtraction. Perfect for young math learners!
-
VIEW DETAILS
2-Digit Subtraction Without RegroupingSubtracting Multiples of 10 Using Place Value Game
In this engaging math game, kids will practice subtracting multiples of 10 using place value skills and the column method. It's a fun way to help kids tackle subtraction challenges and boost their confidence in handling numbers. In this engaging game, kids will explore subtraction problems within 100, making math practice enjoyable and effective. Ready to play?
3-Digit Subtraction Games
View all 46 games-
VIEW DETAILS
3-Digit Subtraction Without RegroupingSubtracting Multiples of 100 Game
This exciting math game helps kids practice subtracting multiples of 100, making subtraction easier and more fun. By playing, children will gain confidence in subtracting within 1000 without regrouping (borrowing), improving their math skills and subtraction fluency in a playful way. Perfect for young mathematicians eager to explore the world of numbers!
-
VIEW DETAILS
3-Digit Subtraction With RegroupingSubtracting by Breaking Up Tens Game
In this exciting game, kids will tackle subtraction problems by breaking up tens. They'll use regrouping to find the right answers from given options, helping them grasp subtraction concepts within 1000. This interactive approach makes learning subtraction fun and effective. Perfect for young math learners eager to master subtraction skills!
-
VIEW DETAILS
3-Digit Subtraction With RegroupingUsing Place Value to Subtract by Breaking Tens Game
Unleash your child's math skills with this exciting game focused on subtraction by breaking tens. Through fun tasks, young mathematicians will gain fluency in subtracting within 1000 using regrouping. This game is designed to boost confidence and understanding in subtraction while making learning enjoyable. Get started on a math adventure today!
-
VIEW DETAILS
3-Digit Subtraction Without RegroupingSolve by Subtracting Multiples of 100 Game
Help kids tackle subtraction with this exciting game focused on multiples of 100. They'll solve a variety of problems, building confidence and understanding in math. Perfect for practicing subtraction within 1000 without regrouping, this game makes learning fun and supports overcoming common misconceptions. Watch your child master subtraction skills while enjoying the process!
All Subtraction Games
-
VIEW DETAILS
Subtraction StrategiesWriting the Related Facts Game
Explore the world of addition and subtraction with this exciting game! Kids will tackle problems to find related facts, reinforcing their math abilities. By working with numbers within 10, children will gain confidence and improve their skills in a fun way. Perfect for young learners to grasp essential math concepts easily. Start the adventure today!
-
VIEW DETAILS
2-Digit SubtractionSolve Word Problems on Taking From Scenarios Game
This exciting math game helps kids master subtraction by solving word problems in "take from" scenarios. They'll tackle subtraction challenges within 100, enhancing their problem-solving skills. Perfect for young learners, this game turns learning into an adventure, making math fun and interactive. Watch your child boost their confidence and math prowess!
-
VIEW DETAILS
3-Digit SubtractionSolving Scenarios with ''Difference Unknown'' Game
In this math game, kids will dive into subtraction word problems where the "difference unknown" is key. They'll explore story situations and solve problems within 1000. This interactive game helps kids overcome common misconceptions and build confidence in subtraction. It's a fun way to practice and improve their skills in adding and subtracting within 1000.
-
VIEW DETAILS
Subtraction StrategiesThinking Addition with Bar Models Game
In this exciting math game, kids will tackle subtraction challenges using bar models as visual aids. By relating addition and subtraction, children will gain confidence in their math skills. This game provides targeted practice, helping to overcome common misconceptions in subtraction. Perfect for young learners eager to explore math concepts in a fun and interactive way!
-
VIEW DETAILS
2-Digit SubtractionSolving Difference Unknown Scenarios Game
Embark on a math adventure with our game focused on subtraction word problems. Kids will tackle "difference unknown" scenarios, enhancing their problem-solving skills while working within 100. This interactive game is designed to build confidence and proficiency in subtraction, making learning math a fun experience!
-
VIEW DETAILS
3-Digit SubtractionSolving Subtraction Word Problems Game
Help your child conquer subtraction with this fun game! They'll solve word problems featuring subtraction within 1000, practicing essential math skills along the way. The game offers a variety of challenges, ensuring kids get comfortable with subtraction concepts. It's a great way to reinforce what they've learned and build confidence in math!
-
VIEW DETAILS
Subtraction StrategiesCompleting Related Facts of Addition and Subtraction Game
In this exciting math adventure, kids will explore the connection between addition and subtraction by finding related facts. They'll work with numbers up to 20, enhancing their arithmetic skills while having fun. This game offers a hands-on approach to understanding math concepts, boosting confidence and problem-solving abilities. Join the fun and master math with ease!
-
VIEW DETAILS
Subtraction StrategiesWriting the Related Fact Game
Join the fun in this interactive game where kids tackle addition and subtraction problems to uncover related facts. By dragging and dropping items, children work with numbers up to 20, mastering strategies for these essential math skills. This game offers a perfect balance of challenge and learning, making it an ideal way to boost math confidence and understanding.
-
VIEW DETAILS
Subtract With PicturesUsing Models to Subtract 2-Digit Number Game
Engage your child with this fun subtraction game that uses base 10 blocks for visual aid. Kids will practice subtracting 2-digit numbers from 3-digit numbers, helping them tackle common subtraction misconceptions. This game enhances their ability to subtract within 1000 without regrouping, making math practice enjoyable and effective.
-
VIEW DETAILS
Subtraction StrategiesSubtracting 10 from Teen Numbers Game
Master subtraction with this exciting game! Kids will practice subtracting 10 from teen numbers through interactive problems, reinforcing their math skills. By applying prior knowledge, young learners gain confidence and improve their subtraction strategies. Perfect for making math fun and accessible, this game ensures students work at their own pace.
-
VIEW DETAILS
2-Digit SubtractionSubtracting Using Place Value Chart Game
This engaging game helps kids subtract 1-digit numbers from 2-digit numbers using a place value chart. It's a fun way to build subtraction skills without regrouping. Kids will fill in numbers to complete tasks, boosting their understanding of subtraction within 100. Perfect for young learners to practice math in an interactive way!
-
VIEW DETAILS
3-Digit SubtractionFinding 100 Less Than a 3-Digit Number Game
In this fun math game, kids will practice subtracting 100 from 3-digit numbers, sharpening their subtraction skills. It's an exciting way to tackle common misconceptions and build confidence. By playing, children will develop fluency in subtracting within 1000 without regrouping. Perfect for young mathematicians eager to explore subtraction concepts!
-
VIEW DETAILS
Subtract With PicturesUsing Models to Subtract 3-Digit Numbers Game
This fun math game helps kids subtract two 3-digit numbers using base 10 blocks as visual aids. Players will tackle subtraction problems, learning to use models effectively. The game focuses on subtracting within 1000 without regrouping, ensuring kids grasp the concept while enjoying the process. It's a great way to build confidence in subtraction skills!
-
VIEW DETAILS
2-Digit SubtractionTaking Away Multiples of 10 Game
Your child will enjoy taking away multiples of 10 in this fun math game. They'll practice subtracting 1-digit numbers from 2-digit numbers within 100. Designed to boost subtraction skills, this game offers tasks that make learning subtraction easy and enjoyable. Perfect for young mathematicians eager to gain fluency in subtraction. Get started now!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 100 from a 3-Digit Number Game
This fun math game helps kids practice subtracting 100 from 3-digit numbers. Set in a horizontal format, the game challenges students with numbers up to 1,000. Kids will enjoy solving these problems while strengthening their subtraction skills. It's a great way to build confidence in math and develop a strong understanding of subtraction concepts.
-
VIEW DETAILS
2-Digit SubtractionFinding the Difference by Subtracting Multiples of 10 Game
Kids will tackle subtraction problems with ease in this exciting game. They'll learn to find differences by subtracting multiples of 10, working with 2-digit and 1-digit numbers. Perfect for overcoming misconceptions, this game builds confidence in subtracting within 100 without regrouping. Watch your child's math skills grow as they play. Get started now!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 100 from 3-Digit Numbers Game
Sharpen your math skills with this exciting game! Subtract 100 from 3-digit numbers and solve engaging problems. Kids will drag and drop items to find the right answers, working with numbers up to 1,000. This interactive game helps solidify subtraction concepts and boosts confidence in solving math problems. Perfect for young learners eager to practice subtraction!
-
VIEW DETAILS
Subtraction StrategiesCounting Back and Subtracting on a Number Line Game
Join the fun of learning subtraction using a number line! This game guides kids to count back and solve subtraction problems with numbers within 20. Perfect for mastering subtraction strategies, students will tap on interactive elements to mark their responses. Enjoy a hands-on math adventure that builds confidence in addition and subtraction skills!
-
VIEW DETAILS
2-Digit SubtractionUsing Subtraction to Find the Difference Game
In this exciting subtraction game, kids tackle problems using 2-digit and 1-digit numbers. They'll match numbers to subtraction statements, learning to subtract within 100 without regrouping. This game is perfect for young learners to practice and solidify their subtraction skills, making math both fun and educational. Give it a try and boost their confidence!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 10 and 100 from 3-Digit Numbers Game
Join the fun and help your child become a subtraction whiz! In this game, kids subtract 10 and 100 from 3-digit numbers, discovering patterns in the differences. With various problem structures, they'll gain confidence and fluency in subtraction. This exciting journey strengthens their ability to subtract within 1000, making math more enjoyable!
-
VIEW DETAILS
Subtraction StrategiesCounting Back Game
Help your child master subtraction with our counting back game! This fun activity focuses on counting back to solve subtraction problems, making tricky concepts easier to grasp. Kids will enjoy practicing subtraction strategies, improving their problem-solving skills, and gaining confidence in math. A perfect blend of learning and fun awaits! Let's play!
-
VIEW DETAILS
2-Digit SubtractionUsing Place Value Chart to Subtract Multiples of 10 Game
This engaging game helps kids master subtraction by using a place value chart to subtract multiples of 10 from 2-digit numbers. Perfect for young learners, it builds confidence in subtracting within 100, ensuring they grasp subtraction concepts easily. Let your child practice and improve their math skills in a fun and interactive way. Start for free!
-
VIEW DETAILS
3-Digit SubtractionFinding 10 Less Than a 3-Digit Number Game
In this engaging math game, kids will practice subtracting 10 from 3-digit numbers. By choosing the correct answers from given options, they'll sharpen their subtraction skills without regrouping (borrowing). This game makes learning subtraction fun and helps build confidence in working with numbers up to 1000. Perfect for young math explorers! Dive right in!
-
VIEW DETAILS
2-Digit SubtractionSubtracting Multiples of 10 Game
This exciting math game invites kids to subtract multiples of 10 from 2-digit numbers. Through engaging problems within 100, children will select the correct answers, reinforcing their subtraction skills. With varying levels of complexity, this game builds confidence and enhances math abilities. Perfect for young learners eager to master subtraction. Get started now!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 10 from a 3-Digit Number Game
This exciting math game invites kids to subtract 10 from 3-digit numbers, enhancing their subtraction skills. With numbers placed horizontally, children will tackle subtraction challenges and solve problems without regrouping. It's a great way to build confidence in working with numbers within 1,000. Let your child enjoy learning subtraction in a playful and interactive manner!
-
VIEW DETAILS
2-Digit SubtractionSubtracting Multiples of 10 From 2-Digit Numbers Game
Join the fun and learn subtraction with this engaging game! Kids will practice subtracting multiples of 10 from 2-digit numbers, boosting their math skills. With a focus on fundamentals, this game helps kids subtract within 100 without regrouping, laying the groundwork for more advanced math. It's the perfect way to develop subtraction fluency!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 10 from 3-Digit Numbers Game
In this exciting math game, kids will master the skill of subtracting 10 from 3-digit numbers. They'll tackle a series of problems, working with numbers up to 1,000. Using a drag-and-drop feature, children will place items correctly to find solutions, making learning subtraction interactive and fun. This game sharpens subtraction skills without needing to regroup.
-
VIEW DETAILS
Subtraction StrategiesUsing Double Facts to Find the Missing Number Game
This interactive math game helps kids tackle subtraction misconceptions by using double facts to find missing numbers. Through fun challenges, young mathematicians will explore subtraction strategies using doubles and near doubles, enhancing their addition and subtraction skills. It's a playful way to boost math confidence and understanding. Let's play and learn!
-
VIEW DETAILS
2-Digit SubtractionFinding the Missing Number in Subtraction Sentence Game
Help your child master subtraction with this fun game! Kids will play and learn to solve subtraction sentences by finding missing numbers, working with 2-digit numbers and multiples of 10. This interactive activity boosts math skills as kids subtract within 100 without regrouping. Watch them gain confidence and enjoy learning subtraction in an exciting way!
-
VIEW DETAILS
3-Digit SubtractionUsing Place Value Chart to Subtract 1-Digit Number Game
In this engaging math game, kids will subtract 1-digit numbers from 3-digit numbers using a place value chart. With visual aids, children drag interactive elements to find solutions, making math fun and intuitive. The game strengthens subtraction skills and deepens understanding of place value, all while working within 1000. Start the learning adventure now!
-
VIEW DETAILS
Subtraction StrategiesFinding the Missing Number to Subtract Doubles Game
In this fun math game, kids will learn to find missing numbers in subtraction equations using the doubles strategy. They'll drag and drop items to solve problems, enhancing their problem-solving skills while mastering subtraction concepts. It's a great way to practice addition and subtraction within 20. Perfect for young learners to build math fluency!
-
VIEW DETAILS
2-Digit SubtractionUsing Place Value Chart to Subtract Game
In this engaging math game, kids will learn to subtract two-digit numbers using a place value chart. Aimed at making subtraction fun and less confusing, this game guides students through subtraction problems without regrouping. Perfect for practicing subtraction skills, it encourages kids to subtract within 100 while building confidence. Get started and watch your child excel!
-
VIEW DETAILS
3-Digit SubtractionSubtracting 1-Digit Number from 3-Digit Number Game
Help your child tackle subtraction with this fun game focused on subtracting 1-digit numbers from 3-digit numbers. Designed to make learning enjoyable, the game offers smart tasks that build fluency and confidence in subtraction. Watch your young mathematician practice and improve their skills in subtracting within 1000 without regrouping. A perfect way to make math fun and effective!
-
VIEW DETAILS
Subtraction StrategiesSolving the Near Doubles Facts Game
Help your child master addition with this exciting game focused on solving near doubles facts. Kids will tackle engaging problems that reinforce addition strategies, clearing up any misconceptions. By playing, they'll improve their fluency in addition and subtraction, gaining confidence in math. This game offers a fun and effective way to practice and learn. Get started now!
-
VIEW DETAILS
2-Digit SubtractionSubtracting 2-Digit Numbers Game
This exciting game helps kids tackle subtraction by solving problems with two 2-digit numbers. Designed to clear up common misconceptions, it offers young mathematicians a chance to practice subtraction within 100 without regrouping. Kids will enjoy honing their math skills in a fun and interactive way, building confidence in subtraction and beyond.
-
VIEW DETAILS
3-Digit SubtractionSubtracting 1-Digit Number from 3-Digit Number Game
Join the fun of subtraction with this engaging game! Kids will practice subtracting 1-digit numbers from 3-digit numbers and sharpen their math skills. This game makes learning subtraction enjoyable by balancing challenge and play. Perfect for young learners to explore subtraction without regrouping, ensuring a solid grasp of subtracting within 1000.
Conceptual Understanding of Subtraction
Following are some conceptual structures to introduce subtraction to second graders
PARTITIONING
This process involves splitting one group or quantity into two or more smaller sub-groups or sub-quantities. This is exactly the inverse of the combining model of addition where children combine two or more quantities to form a larger quantity.
Some examples of this partitioning model are:
A typical word problem to illustrate this kind of subtraction is:
“In a box, there are 5 toys, 3 are Jack’s and the rest are Jill’s, how many are Jill’s?”
REDUCTION
This type of subtraction involves reducing or diminishing the value of a quantity. It is also described as “take away” method. This should be clear that take away and subtraction is not interchangeable terms. There are other types of subtraction that do not follow the takeaway approach. The reduction model for subtraction is the inverse of the augmentation model for addition which is adding to a quantity.
Some examples of the reduction model are:
The number line method is one where you start at 5 and take away 2. Hence you left with 3
A typical word problem to illustrate this kind of subtraction is:
“Jack had 5 candies. He ate 2, how many are left now?”
COMPARATIVE DISTANCE
This type of subtraction involves comparing two quantities and expressing the difference of the two as a numerical value. It is important to note here that ‘find the difference between 5 and 2’ is equivalent to ‘find the difference between 2 and 5’. This is not true for the other types of subtraction like reduction. (i.e. 5 take away 2 is not equivalent to 2 take away 5).
Some comparative difference examples are:
There are 3 more red cubes than green
The difference is 3 cubes
A word problem to illustrates this kind of subtraction will be ‘How many more candies than Jill does Jack have?
COMPLEMENTARY ADDITION
This type of subtraction that is ‘Complementary Addition’ is also called ‘Additive Difference’ i.e. finding the difference or complement by adding instead of subtracting.
Examples of this type are as follows:
A typical word problem to represent this type of subtraction is:
“Jack has 2 candies, how many more does he need to have 5 candies?”
Methods for Subtraction
COUNTING UP FROM THE SMALLER TO THE LARGER NUMBER
This method combines the use of complementary addition with the use of number line.
We have seen how to subtract simple one-digit numbers using the number line format.
This method is for second graders to understand binary subtraction. Let us look at an example of subtracting two-digit numbers.
For example, Subtract 50-36
As discussed in complementary addition we try to understand subtraction as an addition problem. Hence 50-36 =? is same as solving the equation 36 +? = 50. So, we start from 36, add 4 to get 40 and then add 10 to get to 50. Total we added 4 + 10 = 14. Hence, 50-36 = 14
Similarly, for 84-56, we have:
COMPENSATION (TAKE TOO MUCH, ADD BACK)
The heading is self-explanatory. This method can be used to solve two-digit addition and subtraction sums. For subtraction problems first subtract too much and then add back whatever extra was subtracted from the minuend.
For example, 84-56
In this case look at the next closest tens to 56 (i.e. 60) now, subtract from 84, which is, 84—60 = 24. Now add back whatever extra was subtracted. 60 was 4 more than 56. Therefore add 4 more to 24. 24+4 =28
EXPANDED FORM OF STANDARD ALGORITHM
This stage is the beginning of the standard algorithm used for subtraction but in a much-expanded format. The purpose of this expansion is to allow the child to understand the algorithm, rather than merely rote learning the method.
Initially, the expanded format is introduced for subtractions in which the digits of the first number are all larger than the corresponding digits of the second number thus allowing the child to become familiar with the new algorithm without the complications of decomposition Notice that this algorithm relies heavily on the child’s ability to partition numbers into their constituent parts e.g. 88 = 80 + 8, 63 = 60 +3.
Let us look at an example for subtraction of two-digit numbers: 88 – 57
This same algorithm can be modelled using Dienes’ base 10 apparatus. Dienes’ base 10 is one of the best math aids that helps children to visualize subtraction. The base 10 blocks make understanding of subtraction with regrouping easy. It involves trading some of the bigger blocks with blocks of smaller value.
First let us look at examples where the digits of the first number are all larger than the corresponding digits of the second number. In all these cases, subtraction without regrouping model works.
We first partition the first number into tens and ones: 47 = 40 + 7. Place the corresponding Dienes' blocks in the relevant columns. Notice that for addition with Dienes' apparatus both numbers are represented but for subtraction only those blocks representing the first number are needed. Then, partition the second number into tens and ones: 32 = 30 + 2.
Remove Dienes' blocks equivalent to the second number from the first, one column at a time.
Combine the values of the blocks which remain after the subtraction has been performed to produce the required answer: 10 + 5 = 15.
If the algorithm is to be modelled using Dienes’ base 10 apparatus, it is recommended that the algorithm is practiced initially using just the Dienes’ apparatus, then using the apparatus alongside written recording and, finally, using written recording without the apparatus. The aim of using Dienes’ apparatus should be to ensure understanding of the algorithm and not as a prop for calculation.
EXPANDED FORM OF STANDARD ALGORITHM (WITH DECOMPOSITION)
This is the same method as above but with the complication that some of the digits in the first number are smaller than the corresponding digits in the second number. This makes the use of decomposition necessary. Decomposition is a different way of partitioning numbers.
Let us consider this example of regrouping subtraction of 2-digit numbers using decomposition of tens into ones (using the exchange 1 ten = 10 ones).
In the example, number 81 has been decomposed as 81 = 70 + 11. Note, however, that it has been partitioned in the standard way (81 = 80 + 1) before decomposing the 80 + 1 into 70 + 11. It is important that the child understands that the overall value of the first number in the subtraction has not changed; it is still 81.
This algorithm can be modelled using Dienes’ base 10 apparatus as follows:
Let us look at an example of subtraction 34-9
Another example of subtraction with regrouping is: Subtract 29 from 56.
First, partition the first number into tens and ones: 56 = 50 + 6. Place the corresponding Dienes' blocks in the relevant columns. Then, partition the second number into tens and ones: 29 = 20 + 9.
A decision needs to be made at this point as to whether the subtraction of individual columns is immediately feasible or not. In this example, the ones columns are not. One of the tens is decomposed into 10 ones. This finally makes the subtraction column by column feasible. Column by column, blocks equivalent to the values of the digits in the second number are removed from the first number. The combined value of the blocks remaining from the first number after the subtraction has been performed, produce the answer: 20 + 7 = 27.
Subtraction with regrouping worksheets should be practiced along with this so that the base 10 block model is not used as a calculative tool but just as a conceptual clarity tool.
This same model of 2 digit subtraction with regrouping can be extended to 3 digit subtraction with regrouping in which one of hundreds is decomposed into 10 tens and one of tens is decomposed to 10 ones.
Kids enjoy fun math games and activities rather than solving sums on subtraction worksheets or math educational books. Math worksheets seem as a burden with too many sums whereas the same worksheet converted into learning games becomes fun. Math activities to teach addition and subtraction with regrouping can be best modelled through the block 10 place value system. Using money for teaching the main order to understand the same as solving problems of daily life we can use currency instead. Counting money and using currency helps students to relate more and visualize better. This method of adding and subtracting positive and negative numbers with regrouping is also called subtraction with renaming.
Let one of the subtraction word problems be as follows: 52 take away 28 equals what?
Draw the problem or use objects, for example, count out/up the number 52 in tens and units using money:
Circle the bigger number in the units’ column:
At this point ask children, can you take 8 cents away from 2 cents? No? So, what can you do?
Your child could say this little rhyme “More on top? No need to stop! More on the floor? Go next door. Get one ten. That’s ten units more.”
Notice that one 10c coin is equal to (the same as) ten 1c coins:
Help your child to exchange (swop) one 10c coin for ten 1c coins. Show your child four 10c coins and twelve 1c coins.
Now ask: How many 10c coins do you have now? How many 1c coins?
Record the data proceedings so far also
Try working out the problem. Begin with the units’ column and then proceed with the tens column.
12 cent, take away 8 cent, leaves 4 cent.
Four 10c coins, take away two 10c coins, leaves two 10c coins.
And the answer is: Fifty-two take away twenty-eight equals twenty-four. 52 – 28 = 24
Hence, we see how simple adding and subtracting can be provided effective addition and subtraction games and strategies are used. This similar approach of subtracting numbers via the context of money can be extended to subtracting negative numbers, subtracting integers, subtracting fractions, subtracting mixed numbers, subtracting decimals, subtracting polynomials and even subtracting vectors in the later grades. To know how to add and subtract is the most basic operational skill that is used in daily life to solve math problems. A strong conceptual clarity will thereby help kids to grasp other mathematics topics well in successive grades too.
Your one stop solution for all grade learning needs.
Give your child the passion and confidence to learn anything on their own fearlessly
